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Finding the Third Proportional to 236.06 and 360.94

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Solution

The third proportional to 236.06 and 360.94 is: 551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.06 : 360.94 = 360.94 : x
  2. Step 2: Convert to fraction form
    236.06/360.94 = 360.94/x
  3. Step 3: Cross multiply
    236.06x = 360.94 × 360.94
  4. Step 4: Simplify right side
    236.06x = 130,275.88
  5. Step 5: Solve for x
    x = 130,275.88/236.06
  6. Step 6: Final answer
    x = 551.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.